The area of sector JLK is `3pi ` in.`^2` . Find the measure of arc JK.
2 Answers | Add Yours
Area of the entire circle `A=pir^2` is `36pi.`
Since the area of the sector is `3pi` , then this represents `(3pi)/(36pi)` or `1/12.`
Therefore this arc represents `1/12` of the entire circle of 360 degrees.
So, this means `1/12* 360 = 30.`
Therefore arc JK = 30 degrees.` `
Determine the length of arc JK as `1/12` of the whole circumference:
Length of arc JK`=1/12 (12pi)` in.` ``=pi` in.
Therefore the length of arc JK is 3.1416 in.
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes